Download e-book for kindle: Student Solutions Manual, Chapters 10-17 for Stewart’s by James Stewart

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Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 6 15.  = 3 14 34 · = , where  = 2 and  = 4 − 8 cos  14 1 − 2 cos  3 4 CONIC SECTIONS IN POLAR COORDINATES ¤ ⇒  = 38 . (a) Eccentricity =  = 2 (b) Since  = 2  1, the conic is a hyperbola. (c) Since “− cos  ” appears in the denominator, the directrix is to the left of the focus at the origin.

Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 4 AREAS AND LENGTHS IN POLAR COORDINATES ¤ 25 43. From the first graph, we see that the pole is one point of intersection. By zooming in or using the cursor, we find the -values of the intersection points to be  ≈ 088786 ≈ 089 and  −  ≈ 225.

10  10 1 2  −10 2  = 5  10 −10 9 cos 5  = 5 · 9 · 2  10 0  10 cos 5  = 18 sin 5 0 = 18 33. The curves intersect when 4 cos  = 2 ⇒ cos  = 12 ⇒  = ± 3     for − ≤  ≤ . The points of intersection are 2 3 and 2 − 3 . 35. The curves intersect where 2 sin  = sin  + cos  sin  = cos  ⇒=  , 4 ⇒ and also at the origin (at which  = 3 4 on the second curve).  34  4  = 0 21 (2 sin )2  + 4 12 (sin  + cos )2   34  4 = 0 (1 − cos 2)  + 12 4 (1 + sin 2)  4  34  =  − 12 sin 2 0 + 12  − 14 cos 2 4 = 12 ( − 1) Copyright 2016 Cengage Learning.